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Finding the Fourth Proportional to 138,082.10, 207,123.15 and 82,094.90

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Solution

The fourth proportional to 138,082.10, 207,123.15 and 82,094.90 is: 123,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,082.10 : 207,123.15 = 82,094.90 : x
  2. Step 2: Convert to fraction form
    138,082.10/207,123.15 = 82,094.90/x
  3. Step 3: Cross multiply
    138,082.10x = 207,123.15 × 82,094.90
  4. Step 4: Simplify right side
    138,082.10x = 17,003,754,286.94
  5. Step 5: Solve for x
    x = 17,003,754,286.94/138,082.10
  6. Step 6: Final answer
    x = 123,142.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.